The number 61977
61977 is a composite number with 8 divisors. Its prime factorisation is 3 × 73 × 283. Divisors (8): 1, 3, 73, 219, 283, 849, 20659, 61977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61977 is composite. Its prime factorisation is
- 3
The divisors add up to 84064; without 61977 itself that is 22087, so 61977 is deficient (22087 is less than 61977). Euler's totient φ(61977) = 40608 numbers up to 61977 share no factor with it.
- 4
The digits of 61977 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61977 = 3 \times 73 \times 283 \]
61977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84064 |
| Euler totient φ(n) | 40608 |
| Square | 3841148529 |
| Cube | 238062862381833 |
| Square root | 248.951803 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.1977 × |
61977 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand nine hundred and seventy-seven |
| Binary (base 2) | 1111001000011001 |
| Octal (base 8) | 171031 |
| Hexadecimal (base 16) | F219 |
| Base 3 | 10011000110 |
| As time | 61977 seconds = 17 h 12 min 57 s |
Is 61977 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61977 ÷ 3 = 20659) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61977 a prime number?
No. 61977 = 3 × 73 × 283, so it is divisible by 3.
What are the factors of 61977?
1, 3, 73, 219, 283, 849, 20659, 61977.
What is 61977 in binary?
1111001000011001 (hexadecimal F219, octal 171031).
What is the square root of 61977?
About 248.9518.
Is 61977 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 61977?
It is a composite number with 8 divisors.